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Vladikavkazskii Matematicheskii Zhurnal, 2012, Volume 14, Number 4, Pages 52–62 (Mi vmj437)  
On correlation of two solution classes for Navier–Stokes equations. II

V. B. Levenshtamab

a Southern Federal University, Russia, Rostov-on-Don
b South Mathematical Institute of VSC RAS, Russia, Vladikavkaz
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Abstract: This is a supplement to the author's work [1] devoted to the solvability of initial boundary value problem for the Navier–Stokes equations with mass force depeding on unknown (speed) polynomially. In this paper local resolvability of the problem in the generalized sense is established and the proof of a key lemma in [1] is also given.
Key words: Navier–Stokes equations, local resolvability, a Veyl projection.
Received: 18.01.2012
Document Type: Article
UDC: 517.633
Language: Russian
Citation: V. B. Levenshtam, “On correlation of two solution classes for Navier–Stokes equations. II”, Vladikavkaz. Mat. Zh., 14:4 (2012), 52–62
Citation in format AMSBIB
\Bibitem{Lev12}
\by V.~B.~Levenshtam
\paper On correlation of two solution classes for Navier--Stokes equations.~II
\jour Vladikavkaz. Mat. Zh.
\yr 2012
\vol 14
\issue 4
\pages 52--62
\mathnet{http://mi.mathnet.ru/vmj437}
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